The manager of an apartment complex estimates she will need a new roof on one of the buildings in $8$ years. Today it would cost $$44,000$ to reroof the building, but the cost is increasing at $3\%$ per year. Find the semiannual payments needed to accumulate the necessary funds at $5\%$ compounded semiannually.

Click here to view page $1$ of the sinking fund table.

Click here to view page $2$ of the sinking fund table.

Click here to view the compound interest table.

Each periodic payment is approximately $

$($Round to the nearest cent as needed.$)$